Na Zhao

activity

20172022

most citedSharp one component regularity for Navier-Stokes

42 citations · 88 across the 6 of their papers we have counts for

collaborators

6 papers

math.AP2022

Finite speed axially symmetric Navier-Stokes flows passing a cone

Zijin Li, Xinghong Pan, Xin Yang +3

Let $D$ be the exterior of a cone inside a ball, with its altitude angle at most $π /6$ in $R^{3}$ , which touches the $x_{3}$ axis at the origin. For any initial value $v_0 = v…

math.AP2021

Global Calderón--Zygmund theory for parabolic $p$ -Laplacian system: the case $1 < p \leq \frac{2 n}{n + 2}$

Ke Chen, Quoc-Hung Nguyen, Na Zhao

The aim of this paper is to establish global Calderón--Zygmund theory to parabolic $p$ -Laplacian system: $$ u_t -\operatorname{div}(|\nabla u|^{p-2}\nabla u) = \operatorname{div} (…

math.AP2018★ 40 cited

Decay and vanishing of some D-solutions of the Navier-Stokes equations

Bryan Carrillo, Xinghong Pan, Qi S. Zhang +1

An old problem since Leray \cite{Le:1} asks whether homogeneous D solutions of the 3 dimensional Navier-Stokes equation in $R^{3}$ or some noncompact domains are 0. In this…

math.AP2018★ 2 cited

A Liouville type theorem for axially symmetric $D$ -solutions to steady Navier-Stokes Equations

Na Zhao

We study axially symmetric $D$ -solutions of three dimensional steady Navier-Stokes equations. We prove that if the velocity $u$ decays like $∣ x^{'} ∣^{- (\frac{2}{3})^{+}}$ uniformly for…

math.AP2017★ 42 cited

Sharp one component regularity for Navier-Stokes

Bin Han, Zhen Lei, Dong Li +1

We consider the conditional regularity of mild solution $v$ to the incompressible Navier-Stokes equations in three dimensions. Let $e \in S^{2}$ and $0 < T^{*} < \infty$ . J…

math.AP2017★ 4 cited

Improved Liouville theorems for axially symmetric Navier-Stokes equations

Zhen Lei, Qi S Zhang, Na Zhao

In this paper, we consider the Liouville property for ancient solutions of the incompressible Navier-Stokes equations. In 2D and the 3D axially symmetric case without swirl, we pro…